Find the Ratio of Father and Son

Parents age of father & son are in the ratio of 5 : 1 respectively. Seven years later this ratio becomes 3 : 1. What is the son’s present age in years ?

  1. 8
  2. 7
  3. 6
  4. 5
Manish Listener Asked on 19th June 2015 in Maths.
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1 Answer(s)

Answer: (2) 7
Explanation:-
Present age of the father and son in the ratio = 5:1
Then, let be the age of father is 5X  and age of the son is X.
According to the question,
(5X + 7)/(X + 7 ) = 3/1
5X + 7 = 3X + 21                                                                     (by cross multiplication)
5X – 3X = 21 – 7
2X = 14
X = 14/2
X = 7
Hence, the age of the son is 7 years.

Anurag Mishra Professor Answered on 19th June 2015.
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